Interpolation by bivariate polynomials based on Radon projections

• Autorzy: B. Bojanov , I. K. Georgieva
• Języki publikacji: EN

Abstrakty

EN

For any given set of angles θ₀ < ... < θₙ in [0,π), we show that a set of ${n + 2 \choose 2}$ Radon projections, consisting of k parallel X-ray beams in each direction $θ_{k}$, k = 0, ..., n, determines uniquely algebraic polynomials of degree n in two variables.

Kategorie tematyczne

• 41A63: Multidimensional problems (should also be assigned at least one other classification number in this section)
• 41A05: Interpolation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 162
• Numer: 2
• Strony: 141-160

Daty

wydano

2004

Twórcy

autor

B. Bojanov

• Department of Mathematics, University of Sofia, Blvd. James Boucher 5, 1164 Sofia, Bulgaria

autor

I. K. Georgieva

• Institute of Mathematics, Bulgarian Academy of Sciences, Akad. G. Bonchev St., bl. 8, 1113 Sofia, Bulgaria

Identyfikatory

DOI

10.4064/sm162-2-3